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  • Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

    Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun
    2023-08-29
    28774 2570 Pages:634-667
  • An Improved Linearity-Preserving Cell-Centered Scheme for Nonlinear Diffusion Problems on General Meshes

    Cheng Dong, Tong Kang
    2021-01-26
    44633 2638 Pages:405-437
  • A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

    Fengdai Kang, Zhen Zhang
    2020-03-09
    42787 2616 Pages:539-568
  • Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

    Liupeng Wang, Yunqing Huang, Kai Jiang
    2020-03-09
    45713 2820 Pages:372-399
  • Highly Accurate Numerical Schemes for Stochastic Optimal Control via FBSDEs

    Yu Fu, Weidong Zhao, Tao Zhou
    2020-03-09
    48500 3008 Pages:296-319
  • A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients

    Suruchi Singh, Kazufumi Ito, Swarn Singh & Zhilin Li
    2021-01-13
    42103 2803 Pages:782-794
  • A Conservative Formulation and a Numerical Algorithm for the Double-Gyre Nonlinear Shallow-Water Model

    Dongyang Kuang & Long Lee
    2015-08-01
    38713 2683 Pages:634-650
  • High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

    Hao Wu
    2011-04-01
    41311 3450 Pages:576-597
  • Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations

    Tongke Wang
    2010-03-01
    41694 4158 Pages:499-522
  • Machine Learning-Based Bias Correction for the GEIM Model

    Taidong Niu, Mingzhe Lyu, Helin Gong, Han Zhang, Zhang Chen, Zhiyong Wang
    2025-10-22
    3879 252 Pages:1066-1099
  • A Lagrangian Discontinuous Galerkin Scheme for the Compressible Euler Equations on Unstructured Triangular Meshes

    Xiaolong Zhao, Xijun Yu, Shicang Song, Shijun Zou, Fang Qing
    2024-12-11
    11509 1140 Pages:1074-1099
  • A Novel Iterative Method to Find the Moore-Penrose Inverse of a Tensor with Einstein Product

    Raziyeh Erfanifar, Masoud Hajarian, Khosro Sayevand
    2024-02-26
    27271 2445 Pages:37-68
  • Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao, Kun Wang
    2024-02-26
    28458 2771 Pages:1-36
  • A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows

    Qi Hong, Yuezheng Gong, Jia Zhao
    2023-08-29
    35416 2951 Pages:565-596
  • The Direct Method of Lines for Forward and Inverse Linear Elasticity Problems of Composite Materials in Star-Shaped Domains

    Xiaopeng Zhu, Zhizhang Wu, Zhongyi Huang
    2023-01-13
    33711 3031 Pages:242-276
  • Application of Adapted-Bubbles to the Helmholtz Equation with Large Wavenumbers in 2D

    Adem Kaya
    2023-01-13
    33776 3130 Pages:26-57
  • A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation

    Yue Chen, Yuezheng Gong, Qi Hong, Chunwu Wang
    2022-07-19
    39533 2983 Pages:768-792
  • An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

    Ruo Li, Wei Zhong
    2022-02-09
    44846 3664 Pages:1-41
  • An Acceleration Technique for the Augmented IIM for 3D Elliptic Interface Problems

    Changjuan Zhang, Zhilin Li, Xingye Yue
    2021-06-02
    47057 2775 Pages:773-796
  • A Two-Grid Algorithm of Fully Discrete Galerkin Finite Element Methods for a Nonlinear Hyperbolic Equation

    Kang Li, Zhijun Tan
    2020-12-02
    51134 2906 Pages:1050-1067
  • Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part I: Concepts and Fundamentals

    M. Esmaeilzadeh, R.M. Barron, R. Balachandar
    2020-12-02
    53281 3049 Pages:881-907
  • Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

    Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma
    2020-03-16
    43860 2854 Pages:665-688
  • Fast Evaluation of Linear Combinations of Caputo Fractional Derivatives and Its Applications to Multi-Term Time-Fractional Sub-Diffusion Equations

    Guanghua Gao, Qian Yang
    2020-03-09
    45797 2873 Pages:433-451
  • A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes

    Shuai Su, Jiming Wu
    2020-03-06
    42666 4106 Pages:220-252
  • Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

    Liping Zhou, Shi Shu, Haiyuan Yu
    2019-10-12
    45882 2656 Pages:1119-1140
  • Finite Difference Schemes for the Tempered Fractional Laplacian

    Zhijiang Zhang, Weihua Deng & Hongtao Fan
    2018-12-17
    44019 2896 Pages:492-516
  • An Adaptive Complex Collocation Method for Solving Linear Elliptic PDEs in Regular Convex Polygons Based on the Unified Transform

    E-N. G. Grylonakis, C. K. Filelis-Papadopoulos, G. A. Gravvanis & A. S. Fokas
    2018-12-17
    43044 2911 Pages:348-369
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